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Finding the Fourth Proportional to 22,644.86, 33,956.36 and 9,493.70

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Solution

The fourth proportional to 22,644.86, 33,956.36 and 9,493.70 is: 14,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.86 : 33,956.36 = 9,493.70 : x
  2. Step 2: Convert to fraction form
    22,644.86/33,956.36 = 9,493.70/x
  3. Step 3: Cross multiply
    22,644.86x = 33,956.36 × 9,493.70
  4. Step 4: Simplify right side
    22,644.86x = 322,371,277.68
  5. Step 5: Solve for x
    x = 322,371,277.68/22,644.86
  6. Step 6: Final answer
    x = 14,235.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.